122111100122010 has 256 divisors, whose sum is σ = 317343455769600. Its totient is φ = 29956932255744.

The previous prime is 122111100121991. The next prime is 122111100122029. The reversal of 122111100122010 is 10221001111221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122111100121991) and next prime (122111100122029).

It is a super-4 number, since 4×122111100122010⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9662975412 + ... + 9662988048.

It is an arithmetic number, because the mean of its divisors is an integer number (1239622874100).

Almost surely, 2^{122111100122010} is an apocalyptic number.

122111100122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111100122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158671727884800).

122111100122010 is an abundant number, since it is smaller than the sum of its proper divisors (195232355647590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111100122010 is a wasteful number, since it uses less digits than its factorization.

122111100122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111100122010 its reverse (10221001111221), we get a palindrome (132332101233231).

The spelling of 122111100122010 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred million, one hundred twenty-two thousand, ten".